Two resistors whose values are in the ratio 2 | vedclass

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(C) When resistors are connected in parallel,the potential difference $(V)$ across each resistor is the same.The power dissipated $(P)$ in a resistor

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$1:2$

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(C) When resistors are connected in parallel,the potential difference $(V)$ across each resistor is the same.The power dissipated $(P)$ in a resistor is given by the formula $P = \frac{V^2}{R}$.Since $V$ is constant,the power dissipated is inversely proportional to the resistance: $P \propto \frac{1}{R}$.Given the ratio of resistances is $\frac{R_1}{R_2} = \frac{2}{1}$.Therefore,the ratio of power dissipated is $\frac{P_1}{P_2} = \frac{R_2}{R_1} = \frac{1}{2}$.

Two resistors whose values are in the ratio $2 : 1$ are connected in parallel with one cell. The ratio of power dissipated is:

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